Details

sample795.0ms

Algorithm: halfpoints

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
9	2152
8	1713
7	1067
6	419
5	176
4	113
3	80
2	48
1	30
0	16

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.2b

localize101.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
57.8b	(- (exp x) (exp (- x)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 103

Calls

4 calls:

15.0ms	(+ (exp x) (exp (- x)))
41.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
41.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
11.0ms	(- (exp x) (exp (- x)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (exp x) (exp (- x)))
80.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
94.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
43.0ms	(- (exp x) (exp (- x)))

simplify2.0s

Counts

115 → 115

Iterations

Iter	Nodes
3	4921
2	1612
1	516
0	200

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize147.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2 (* 1/3 (* x x))))
0.1b	(* 1/60 (pow x 5))
0.1b	(* (/ (+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
0.2b	(* 1/3 (* x x))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
22×	`associate-l`
21×	`add-exp-log`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
14×	`associate-r`
13×	`pow1`
10×	`times-frac`
9×	`prod-exp`
7×	`cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `associate-*l/` `pow-exp` `flip-+` `div-inv`

Counts

4 → 102

Calls

4 calls:

17.0ms	(* x (+ 2 (* 1/3 (* x x))))
17.0ms	(* 1/60 (pow x 5))
53.0ms	(* (/ (+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
12.0ms	(* 1/3 (* x x))

series368.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* x (+ 2 (* 1/3 (* x x))))
64.0ms	(* 1/60 (pow x 5))
152.0ms	(* (/ (+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
37.0ms	(* 1/3 (* x x))

simplify4.2s

Counts

114 → 114

Iterations

Iter	Nodes
3	8247
2	1757
1	507
0	195

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize154.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow x 5))
0.1b	(* x (* 1/3 (* x x)))
0.1b	(* (/ (+ (+ (* x 2) (* x (* 1/3 (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
0.2b	(* 1/3 (* x x))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `add-exp-log`
25×	`add-cbrt-cube`
22×	`associate-l`
20×	`pow1`
17×	`*-un-lft-identity` `add-cube-cbrt`
14×	`prod-exp`
12×	`associate-r` `cbrt-unprod`
10×	`times-frac` `pow-prod-down`
6×	`unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `div-exp` `associate-*l/` `pow-exp` `div-inv`

Counts

4 → 101

Calls

4 calls:

8.0ms	(* 1/60 (pow x 5))
39.0ms	(* x (* 1/3 (* x x)))
83.0ms	(* (/ (+ (+ (* x 2) (* x (* 1/3 (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
34.0ms	(* 1/3 (* x x))

series336.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* 1/60 (pow x 5))
51.0ms	(* x (* 1/3 (* x x)))
127.0ms	(* (/ (+ (+ (* x 2) (* x (* 1/3 (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
52.0ms	(* 1/3 (* x x))

simplify3.9s

Counts

113 → 113

Iterations

Iter	Nodes
3	7409
2	1548
1	446
0	180

prune2.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize195.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.1b	(/ 2 (sin y))
0.2b	(* (* x x) 1/3)
0.2b	(/ (+ (* (+ 2 (* (* x x) 1/3)) x) (* (* (* x x) (* (* x x) x)) 1/60)) (/ 2 (sin y)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`*-un-lft-identity` `add-cube-cbrt`
28×	`pow1`
21×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
6×	`pow-plus` `associate-r` `pow-prod-down` `prod-exp` `pow-prod-up` `cbrt-unprod` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
2×	`pow2` `clear-num` `frac-2neg` `associate-l` `pow-sqr` `*-commutative` `unswap-sqr` `associate-/l/`
1×	`flip3-+` `pow3` `associate-/r/` `flip-+`

Counts

4 → 150

Calls

4 calls:

17.0ms	(* (* x x) x)
5.0ms	(/ 2 (sin y))
14.0ms	(* (* x x) 1/3)
74.0ms	(/ (+ (* (+ 2 (* (* x x) 1/3)) x) (* (* (* x x) (* (* x x) x)) 1/60)) (/ 2 (sin y)))

series657.0ms

Counts

4 → 12

Calls

4 calls:

440.0ms	(* (* x x) x)
27.0ms	(/ 2 (sin y))
34.0ms	(* (* x x) 1/3)
156.0ms	(/ (+ (* (+ 2 (* (* x x) 1/3)) x) (* (* (* x x) (* (* x x) x)) 1/60)) (/ 2 (sin y)))

simplify1.0s

Counts

162 → 162

Iterations

Iter	Nodes
2	2041
1	653
0	249

prune3.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	35
1	35
0	26

end0.0ms

sample12.4s

Algorithm: halfpoints